Q. What is the relationship between the units of work and energy?
A.
They are the same
B.
Work is a subset of energy
C.
Energy is a subset of work
D.
They are unrelated
Show solution
Solution
Work and energy are measured in the same unit, which is Joules (J) in the SI system.
Correct Answer: A — They are the same
Learn More →
Q. What is the relationship between the wavelength and frequency of a wave?
A.
Wavelength is directly proportional to frequency
B.
Wavelength is inversely proportional to frequency
C.
Wavelength is equal to frequency
D.
Wavelength and frequency are unrelated
Show solution
Solution
The relationship is given by the equation v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength. Thus, wavelength is inversely proportional to frequency.
Correct Answer: B — Wavelength is inversely proportional to frequency
Learn More →
Q. What is the relationship between the wavelength of light and the angle of diffraction in a single-slit experiment? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The angle of diffraction is inversely proportional to the wavelength; as the wavelength increases, the angle of diffraction decreases.
Correct Answer: B — Inversely proportional
Learn More →
Q. What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.
Correct Answer: A — Directly proportional
Learn More →
Q. What is the relationship between the wavelength of light and the angle of diffraction in a diffraction grating?
A.
Longer wavelengths diffract less
B.
Longer wavelengths diffract more
C.
Wavelength has no effect
D.
Only the slit width matters
Show solution
Solution
Longer wavelengths diffract more, leading to larger angles of diffraction in a diffraction grating.
Correct Answer: B — Longer wavelengths diffract more
Learn More →
Q. What is the relationship between the wavelength of light and the energy of the emitted electrons in the photoelectric effect?
A.
Energy is directly proportional to wavelength
B.
Energy is inversely proportional to wavelength
C.
Energy is independent of wavelength
D.
Energy is proportional to the square of wavelength
Show solution
Solution
The energy of the emitted electrons is inversely proportional to the wavelength of the incident light, as given by E = hc/λ.
Correct Answer: B — Energy is inversely proportional to wavelength
Learn More →
Q. What is the relationship between the width of the central maximum and the wavelength in a single-slit diffraction pattern?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The width of the central maximum is inversely proportional to the slit width and directly proportional to the wavelength.
Correct Answer: B — Inversely proportional
Learn More →
Q. What is the relationship between the work function and the threshold frequency?
A.
Φ = hν₀
B.
Φ = ν₀/h
C.
Φ = h/ν₀
D.
Φ = ν₀²/h
Show solution
Solution
The work function (Φ) is directly proportional to the threshold frequency (ν₀) as Φ = hν₀.
Correct Answer: A — Φ = hν₀
Learn More →
Q. What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
A.
τ = Iα
B.
τ = α/I
C.
τ = I/α
D.
τ = I + α
Show solution
Solution
The relationship is given by τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.
Correct Answer: A — τ = Iα
Learn More →
Q. What is the relationship between verbal ability and overall performance in the CAT exam as suggested in the passage?
A.
Verbal ability is secondary to quantitative skills.
B.
Verbal ability directly impacts overall performance.
C.
Verbal ability is irrelevant to the exam's success.
D.
Verbal ability is only important for certain sections.
Show solution
Solution
The passage suggests that strong verbal ability is crucial and directly influences overall performance in the CAT exam.
Correct Answer: B — Verbal ability directly impacts overall performance.
Learn More →
Q. What is the relationship between voltage, current, and resistance according to Ohm's Law?
A.
V = I * R
B.
V = I / R
C.
V = R / I
D.
V = I + R
Show solution
Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with resistance (R) as the proportionality constant: V = I * R.
Correct Answer: A — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance as described by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
Show solution
Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance as stated by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
Show solution
Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance in a circuit according to Ohm's Law?
A.
V = I + R
B.
V = I - R
C.
V = I * R
D.
V = I / R
Show solution
Solution
According to Ohm's Law, the relationship is given by V = I * R.
Correct Answer: C — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance in an electrical circuit?
A.
Ohm's Law
B.
Kirchhoff's Law
C.
Faraday's Law
D.
Ampere's Law
Show solution
Solution
Ohm's Law describes the relationship between voltage (V), current (I), and resistance (R) as V = IR.
Correct Answer: A — Ohm's Law
Learn More →
Q. What is the relationship between ΔG and equilibrium constant K?
A.
ΔG = -RT ln K
B.
ΔG = RT ln K
C.
ΔG = KRT
D.
ΔG = K/R
Show solution
Solution
The relationship is given by ΔG = -RT ln K, where R is the gas constant and T is temperature.
Correct Answer: A — ΔG = -RT ln K
Learn More →
Q. What is the relationship between ΔG and the equilibrium constant (K)?
A.
ΔG = -RT ln(K)
B.
ΔG = RT ln(K)
C.
ΔG = KRT
D.
ΔG = K - RT
Show solution
Solution
The relationship is given by ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.
Correct Answer: A — ΔG = -RT ln(K)
Learn More →
Q. What is the relationship between ΔG, ΔH, and ΔS at constant temperature?
A.
ΔG = ΔH + TΔS
B.
ΔG = ΔH - TΔS
C.
ΔG = TΔS - ΔH
D.
ΔG = ΔH/ΔS
Show solution
Solution
The relationship is given by the equation ΔG = ΔH - TΔS, where T is the temperature in Kelvin.
Correct Answer: B — ΔG = ΔH - TΔS
Learn More →
Q. What is the relationship between ΔH and ΔG at equilibrium?
A.
ΔG = 0
B.
ΔH = 0
C.
ΔG = ΔH
D.
ΔG = ΔH + TΔS
Show solution
Solution
At equilibrium, the change in Gibbs free energy (ΔG) is zero.
Correct Answer: A — ΔG = 0
Learn More →
Q. What is the relationship between ΔH and ΔU for a reaction at constant pressure?
A.
ΔH = ΔU + PΔV
B.
ΔH = ΔU - PΔV
C.
ΔH = ΔU
D.
ΔH = PΔV
Show solution
Solution
At constant pressure, the relationship is given by ΔH = ΔU + PΔV.
Correct Answer: A — ΔH = ΔU + PΔV
Learn More →
Q. What is the remainder when 1000 is divided by 6?
Show solution
Solution
1000 divided by 6 gives a quotient of 166 and a remainder of 4.
Correct Answer: A — 4
Learn More →
Q. What is the remainder when 145 is divided by 12?
Show solution
Solution
145 divided by 12 gives a remainder of 1.
Correct Answer: B — 2
Learn More →
Q. What is the remainder when 250 is divided by 7?
Show solution
Solution
250 divided by 7 gives a quotient of 35 and a remainder of 5.
Correct Answer: A — 1
Learn More →
Q. What is the remainder when 256 is divided by 7?
Show solution
Solution
256 divided by 7 gives a quotient of 36 and a remainder of 4.
Correct Answer: B — 4
Learn More →
Q. What is the remainder when 987654 is divided by 9?
Show solution
Solution
The sum of the digits of 987654 is 39, which is divisible by 9, hence the remainder is 0.
Correct Answer: A — 0
Learn More →
Q. What is the repeating unit in polyethylene?
A.
-CH2-CH2-
B.
-C6H5-
C.
-C3H6-
D.
-C2H4-
Show solution
Solution
The repeating unit in polyethylene is -CH2-CH2-, derived from ethylene monomers.
Correct Answer: A — -CH2-CH2-
Learn More →
Q. What is the repeating unit of polystyrene? (2021)
A.
-CH2-CH2-
B.
-CH=CH2-
C.
-C6H5-
D.
-C3H6-
Show solution
Solution
The repeating unit of polystyrene is derived from the monomer styrene, which has the structure -CH=CH2-.
Correct Answer: B — -CH=CH2-
Learn More →
Q. What is the resistance of a circuit if a current of 5A flows through it when a voltage of 25V is applied? (2022)
A.
5Ω
B.
10Ω
C.
15Ω
D.
20Ω
Show solution
Solution
Using Ohm's law (R = V/I), R = 25V / 5A = 5Ω.
Correct Answer: B — 10Ω
Learn More →
Q. What is the resistance of a wire of length 2 m and cross-sectional area 1 mm² if the resistivity of the material is 1.7 x 10^-8 Ωm?
A.
0.034 Ω
B.
0.017 Ω
C.
0.068 Ω
D.
0.085 Ω
Show solution
Solution
Resistance R = ρ * (L/A). Here, R = (1.7 x 10^-8 Ωm) * (2 m / (1 x 10^-6 m²)) = 0.034 Ω.
Correct Answer: A — 0.034 Ω
Learn More →
Q. What is the resistivity of a material if a 5 m long wire with a cross-sectional area of 1 mm² has a resistance of 10 Ω?
A.
2 x 10^-6 Ω·m
B.
5 x 10^-6 Ω·m
C.
1 x 10^-5 Ω·m
D.
2 x 10^-5 Ω·m
Show solution
Solution
Resistivity ρ = R * (A / L) = 10 * (1 x 10^-6 / 5) = 2 x 10^-5 Ω·m.
Correct Answer: C — 1 x 10^-5 Ω·m
Learn More →
Showing 13771 to 13800 of 19340 (645 Pages)